Many-Body Functions of a One-Dimensional Gas
- 1 January 1964
- journal article
- conference paper
- Published by AIP Publishing in Physics of Fluids
- Vol. 7 (1) , 38-43
- https://doi.org/10.1063/1.1711052
Abstract
Formal expressions are obtained for the thermodynamic behavior and many-body functions of a one-dimensional system of particles with an arbitrary interaction potential. These expressions are particularly simple when the potential function satisfies a linear differential equation with constant coefficients over the domain (0, ∞). Explicit, exact results are obtained for a Coulomb interaction and compared with the Kirkwood approximation.Keywords
This publication has 6 references indexed in Scilit:
- On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional ModelJournal of Mathematical Physics, 1963
- Exact Statistical Mechanics of a One-Dimensional System with Coulomb Forces. II. The Method of Functional IntegrationJournal of Mathematical Physics, 1962
- Exact Statistical Mechanics of a One-Dimensional System with Coulomb ForcesJournal of Mathematical Physics, 1961
- One-Dimensional Order-Disorder Model Which Approaches a Second-Order Phase TransitionPhysical Review B, 1961
- The statistical thermodynamics of a gas with long and short-range forcesPhilosophical Magazine, 1959
- On the Partition Function of a One-Dimensional GasPhysics of Fluids, 1959